Math Word Problems Demystified - A Self Teaching Guide

Hence 2.5 ounces of pure alcohol must be added to increase the

concentration after 2.5 ounces have been removed.

6. Letx¼the number of pounds of $2.50 tea and 10
   x¼the number of
   pounds of $3.75 tea.

2 : 50 xþ 3 : 75 ð 10 
xÞ¼$ 3 : 00 ð 10 Þ

2 : 50 xþ 37 : 5 
 3 : 75 x¼ 30

 1 : 25 xþ 37 : 5 ¼ 30

 1 : 25 xþ 37 : 5 
 37 : 5 ¼ 30 
 37 : 5

 1 : 25 x¼
 7 : 5

 1 : 251 x


 1 : 251

¼

7 : 5

1 : 25

x¼6 pounds of $2.50 tea

10 
x¼ 10 
 6 ¼4 pounds of $3.75 tea

7. Letx¼the number of pounds of candy costing $1.25 per pound and
   5
   x¼the number of pounds of candy costing $0.75 per pound.

1 : 25 xþ 0 : 75 ð 5 
xÞ¼ 0 : 90 ð 5 Þ

1 : 25 xþ 3 : 75 
 0 : 75 x¼ 4 : 50

0 : 5 xþ 3 : 75 ¼ 4 : 50

0 : 5 xþ 3 : 75 
 3 : 75 ¼ 4 : 50 
 3 : 75

0 : 5 x¼ 0 : 75

0 : 51 x

0 : 51

¼

0 : 75

0 : 5

x¼ 1 :5 pounds of$ 1 :25 candy

5 
x¼ 5 
 1 : 5 ¼ 3 :5 pounds of$ 0 :75 candy

LESSON 14 Solving Mixture Problems 157